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20102121020212 = 2271134273126233
BaseRepresentation
bin1001001001000011000111…
…10010000101101100110100
32122011202002101011211122121
410210201203302011230310
510113323120440121322
6110430441550005324
74143221204252530
oct444414362055464
978152071154577
1020102121020212
116450297289000
122307b137a6844
13b2a811360c0a
144d6d3ac7abc0
1524cd803daec7
hex124863c85b34

20102121020212 has 96 divisors (see below), whose sum is σ = 44232345126144. Its totient is φ = 7830100270080.

The previous prime is 20102121020083. The next prime is 20102121020249. The reversal of 20102121020212 is 21202012120102.

It is a happy number.

It is a super-2 number, since 2×201021210202122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159183048 + ... + 159309280.

It is an arithmetic number, because the mean of its divisors is an integer number (460753595064).

Almost surely, 220102121020212 is an apocalyptic number.

20102121020212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20102121020212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22116172563072).

20102121020212 is an abundant number, since it is smaller than the sum of its proper divisors (24130224105932).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20102121020212 is a wasteful number, since it uses less digits than its factorization.

20102121020212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130550 (or 130526 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 20102121020212 its reverse (21202012120102), we get a palindrome (41304133140314).

The spelling of 20102121020212 in words is "twenty trillion, one hundred two billion, one hundred twenty-one million, twenty thousand, two hundred twelve".

Divisors: 1 2 4 7 11 14 22 28 44 77 121 154 242 308 484 847 1331 1694 2662 3388 4273 5324 8546 9317 17092 18634 29911 37268 47003 59822 94006 119644 126233 188012 252466 329021 504932 517033 658042 883631 1034066 1316084 1388563 1767262 2068132 2777126 3534524 3619231 5554252 5687363 7238462 9719941 11374726 14476924 15274193 19439882 22749452 30548386 38879764 39811541 61096772 79623082 106919351 159246164 168016123 213838702 336032246 427677404 539393609 672064492 1078787218 1176112861 2157574436 2352225722 3775755263 4704451444 5933329699 7551510526 11866659398 15103021052 23733318796 41533307893 65266626689 83066615786 130533253378 166133231572 261066506756 456866386823 717932893579 913732773646 1435865787158 1827465547292 2871731574316 5025530255053 10051060510106 20102121020212